The 200-bed shelter at 127 W. 25th St. that has rankled residents for years is home to 11 convicted sex offenders labeled Levels 2 and 3, according to the New York State Sex Offender Registry.

These homeless criminals include creeps like ­Elvid Cintron, 48, who was sentenced to five years in prison for sexually abusing 7- and 10-year-old girls who were strangers to him.

Level 3 sex offender Charles Welcome, 51, also calls the shelter home. He was sentenced to a year for sexually abusing an 11-year-old girl — after doing time for attempting to force himself on a 12- and a 14-year-old boy.

The Chelsea facility, called the Jack Ryan Residence, sits only a couple of blocks from the High School of Fashion Industries and several blocks from PS 33/Chelsea Prep.

It’s run by the Bowery Residents’ Committee (BRC), which also operates the shelter in Greenpoint, Brooklyn, where — as The Post exclusively reported Wednesday — many sex offenders were sent after being moved out of the Bellevue facility.

Chelsea neighbors fought hard to prevent the massive shelter from opening in August 2011.

Since then, they’ve complained about street harassment and masturbating deviants lurking around the neighborhood — and they say more should be done to prevent sexual predators from living there.

“They should be screened,” said Carmela, an owner of Westphal Cutlery-Tools at 115 W. 25th St. “You don’t want to have them near parks and schools where children are.”

Tina DiFeliciantonio, a co-chair of the Quality of Life Committee for Community Board 4, said the issue was raised at a recent meeting, and a BRC representative said the facility takes in only lower-level sex criminals.

But DiFeliciantonio and another community member learned that wasn’t true — and called out BRC out on it.

At the meeting earlier this month, the BRC rep simply said the shelter is compliant with all city and state guidelines, according to the minutes from the gathering.

“People don’t want to re-victimize people that are in need, but at the same time problems need to be addressed,” DiFeliciantonio said, adding that there “has been very little to no progress on the issue.”

BRC Executive Director Muzzy Rosenblatt referred all questions to the city’s Department of Homeless Services, whose reps said they are “looking into” the matter.